Readings courses Spring 96

Math 7924 - Readings in Computational Mathematics, Sec. 1)

Topic: High performance computing
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Instructor: Jan Mandel

Time: Monday 3:00-3:45PM

Materials: K. Dowd, High performance computing, O'Reily & Assoc. 1993
(will be in Gibson's bookstore, 1404 Larimer St.)
SGI online documentation

Prerequisite: programming in Fortran 77

Objective: learn how to write highly efficient code to achieve 
close to maximum hardware speed

- overview of RISC processors and optimalizing compilers
- SGI Power Challenge hardware architecture
- programming for memory locality
- programming for software pipelining
- predicting CPU performance by analysis of generated Assembler code
- programming parallel processors with shared memory
- BLAS
- benchmarking

Every student will complete a benchmarking and code optimization
project on SGI Power Challenge.

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Math 7924 - Readings in Computational Mathematics, Sec. 2

Topic: Sobolev Spaces
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Instructor: Jan Mandel

Time: Monday 4:00-4:45PM

Prerequisite: Functional Analysis

Book: J.T. Marti, Introduction to Sobolev Spaces and Finite Element
Solution of Elliptic Boundary Value Problems, Academic Press, 1986
(will be in Gibson's bookstore, 1404 Larimer St.)

Objective: study basic proofs of Sobolev space theory in detail

- definition of Sobolev spaces H^m
- Poincare and Friedrichs inequality
- extension theorems, the Calderon-Zygmund inequality
- imbeddings of Sobolev spaces, compact imbeddings
- regularity of the Poisson problem on convex domains

In the beginning of the course, I will present basic definitions 
and an overview of all results. The rest will consist of student 
presentations on assigned advanced topics.